{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## _*H2 excited states from NumPyEigensolver*_\n",
    "\n",
    "This notebook demonstrates using Qiskit Chemistry to plot graphs of the ground state and excited state energies of the Hydrogen (H2) molecule over a range of inter-atomic distances. This notebook utilizes the fact that when two_qubit_reduction is used with the parity mapping on H2 the resultant hamiltionian solely contains the 4 states we are looking for.\n",
    "\n",
    "This notebook has been written to use the PYSCF chemistry driver."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing step 20 --- complete\n",
      "Distances:  [0.5   0.525 0.55  0.575 0.6   0.625 0.65  0.675 0.7   0.725 0.75  0.775\n",
      " 0.8   0.825 0.85  0.875 0.9   0.925 0.95  0.975 1.   ]\n",
      "Energies: [[-1.05515979 -1.07591366 -1.09262991 -1.10591805 -1.11628601 -1.12416092\n",
      "  -1.12990478 -1.13382622 -1.13618945 -1.13722138 -1.13711707 -1.13604436\n",
      "  -1.13414767 -1.13155121 -1.12836188 -1.12467175 -1.12056028 -1.11609624\n",
      "  -1.11133942 -1.10634211 -1.10115033]\n",
      " [-0.07074011 -0.13940618 -0.20191839 -0.25891828 -0.31096009 -0.35852853\n",
      "  -0.402052   -0.44191252 -0.47845306 -0.51198296 -0.5427821  -0.57110389\n",
      "  -0.5971778  -0.62121128 -0.64339155 -0.66388713 -0.68284939 -0.70041397\n",
      "  -0.71670221 -0.73182253 -0.74587179]\n",
      " [ 0.26700034  0.20067908  0.14057064  0.08603034  0.0365012  -0.00850382\n",
      "  -0.0494151  -0.08661632 -0.1204519  -0.15123247 -0.17923903 -0.2047261\n",
      "  -0.22792423 -0.24904202 -0.26826785 -0.28577159 -0.301706   -0.31620832\n",
      "  -0.32940157 -0.34139606 -0.35229063]\n",
      " [ 1.30148575  1.18682836  1.08048357  0.98177125  0.89008467  0.80487598\n",
      "   0.72564537  0.65193316  0.5833141   0.51939348  0.45980452  0.40420669\n",
      "   0.35228457  0.30374708  0.25832675  0.21577901  0.17588132  0.13843209\n",
      "   0.10324952  0.0701702   0.03904763]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab\n",
    "from qiskit.aqua.algorithms import NumPyEigensolver\n",
    "from qiskit.chemistry.drivers import PySCFDriver\n",
    "from qiskit.chemistry.core import Hamiltonian, QubitMappingType\n",
    "\n",
    "# TODO: Ignore warnings for now until the algorithm result handling is changed.\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore', category=DeprecationWarning)\n",
    "\n",
    "molecule = 'H .0 .0 -{0}; H .0 .0 {0}'\n",
    "\n",
    "start = 0.5  # Start distance\n",
    "by    = 0.5  # How much to increase distance by\n",
    "steps = 20   # Number of steps to increase by\n",
    "energies  = np.empty([4, steps+1])\n",
    "distances = np.empty(steps+1)\n",
    "\n",
    "print('Processing step __', end='')\n",
    "for i in range(steps+1):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    d = start + i*by/steps\n",
    "    driver = PySCFDriver(molecule.format(d/2), basis='sto3g')\n",
    "    qmolecule = driver.run()\n",
    "    operator =  Hamiltonian(qubit_mapping=QubitMappingType.PARITY, two_qubit_reduction=True)\n",
    "    qubit_op, aux_ops = operator.run(qmolecule)\n",
    "    result = NumPyEigensolver(qubit_op, k=4).run()\n",
    "    _, result = operator.process_algorithm_result(result)\n",
    "   \n",
    "    energies[:, i] = result['energies']\n",
    "    distances[i] = d\n",
    "print(' --- complete')\n",
    "\n",
    "print('Distances: ', distances)\n",
    "print('Energies:', energies)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(energies.shape[0]):\n",
    "    label = 'Ground state' if j ==0 else 'Excited state {}'.format(j)\n",
    "    pylab.plot(distances, energies[j], label=label)\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('H2 Ground and Excited States')\n",
    "pylab.legend(loc='upper right')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above plot has all the states. Below we plot them individually. With each plot having its own y-axis scale the energy change over distance change is more evident, particularly the ground state curve which is very flattened above by the scale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (6, 4)\n",
    "prop_cycle = pylab.rcParams['axes.prop_cycle']\n",
    "colors = prop_cycle.by_key()['color']\n",
    "for j in range(energies.shape[0]):\n",
    "    label = 'Ground state' if j ==0 else 'Excited state {}'.format(j)\n",
    "    pylab.plot(distances, energies[j], color=colors[j], label=label)\n",
    "    pylab.xlabel('Interatomic distance')\n",
    "    pylab.ylabel('Energy')\n",
    "    pylab.title('H2 {}'.format(label))\n",
    "    pylab.legend(loc='upper right')\n",
    "    pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
